Answer:
y= -2
x = 5
Step-by-step explanation:
Multiply the top equation by 2 to get
2x + 6y = -2
then subtract the bottom equation by the new equation to get
2x + 6y = -2
--------------------
2x + 2y = 6
which is
4y = -8
y = -2
If y = -2
Then plug -2 into y in the top equation to get x + 3(-2) = -1 and simplify which is
x + (-6) and add 6 to both sides to get x = -1 + 6
which is x = 5
What is the sum of two consecutive numbers is 141
The two consecutive integers such that their sum is 141 will be 70 and 71.
What is a number system?The number system is a way to represent or express numbers.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Let's say that two consecutive integers are x and x + 1.
x + x + 1 = 141
2x + 1 = 141
2x = 140
x = 70
So, x + 1 = 71
Thus, it will be 70 and 71.
Hence "The two consecutive integers such that their sum is 141 will be 70 and 71".
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franklin school has 3 boys for every 4 girls in the fifth grade. there are 140 students in the 5th grade. How many boys are there. How many girls are there.
Answer:
There are 60 boys and 80 girls in Franklin School.
Step-by-step explanation:
"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4
It can also be written as 3/4
Also given
Total number of students: 140
We will use ratios to find the number of boys and girls in shool.
First of all, we have to calculate the sum of ratio which is: 3+4 = 7
Let b be the number of boys and g be the number of girls
Then
[tex]b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80[/tex]
Hence,
There are 60 boys and 80 girls in Franklin School.
Colin gets £x wages each week. After he pays his tax of £T then, he pays his rent of £250. he then shares what's left between himself and his wife. how much do they both get?
Answer:
(£x - £T - £250) / 2
Step-by-step explanation:
Colin's total wages = £x
Tax = £T
Rent = £250
Total amount remaining = Total wages - tax - rent
= £x - £T - £250
he then shares what's left between himself and his wife. how much do they both get?
He and his wife = 2 people
Each person gets = Total amount remaining / number of people
= (£x - £T - £250) / 2
Or
= 1/2 (£x - £T - £250)
3. Which is equivalent to the expression below?
4e 6 -2e + 5f + 2 - 2
a. be + 3f + 4
b. 2e + 7f + 4
C. 6e + 7f + 8
d. 2e + 3f + 8
Answer:
B
Step-by-step explanation:
I took an educated guess because i really wasnt sure
Answer:
B. 2e + 7f + 4
Step-by-step explanation:
I took the quiz
a tree casts a 26 ft shadow. a boy standing nearby casts a 10 foot shadow, forming similar triangles. his height is 4 ft. how tall is the tree
Answer:
he would be 22 ft smaller than the tree
Find the gradients of lines A and B.
What is the value of p in the proportion below?
20/6 = p/12
O 2
O 10
O 40
O 72
Answer:
p = 40
Step-by-step explanation:
20/6 = p/12
Reduce the fraction on the left side.
10/3 = p/12
Cross multiply.
3p = 10 * 12
Divide both sides by 3.
p = 10 * 4
p = 40
giving brainliest !!!
The manager of a football team is keeping track of the yards
gained or lost on each play of a football game. On the first
play, the team gained 4 yards. On the second play, the team
lost 33 yards. On the third play, the team gained 11 yards.
What was the position of the ball relative to its starting point
after the first three plays of the game?
Answer: -48 yd
Step-by-step explanation:
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a negative number the inequality symbol.
Answer:
read
Step-by-step explanation:
The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.
A:
✔ 24 > 16
B:
✔ –22 < –6
C:
✔ 21 > –18
D:
✔ –25 < 5
Multiplying both sides of an inequality by a positive number
✔ does not change
the inequality symbol.
Here fools the rights answers hope it helps O<O
Answer:
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D.
The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.
A:
✔ –16 < –4
B:
✔ 40 > 8
C:
✔ –45 < 15
D:
✔ 35 > –20
Multiplying both sides of an inequality by a negative number
✔ reverses
the inequality symbol.
A person on a moving sidewalk travels 56 feet in 8 seconds. The moving sidewalk has a length of 210 feet. How long will it take to move from one end to the other?
PLEASE HELP ME WILL REPORT IF TROLL
Answer:
The answer is 1470 seconds.
Step-by-step explanation:
A ratio can be expressed as a _______________ description, with a _______________, or as a _______________. I need help filling in the blanks.
Answer:
A ratio can be expressed as a word description, with a colon or as a fraction.
Step-by-step explanation:
A ratio can be expressed as a word description, with a colon or as a fraction.
Quantitatively, a ratio is a number representing a comparison between two named values. It is the relative magnitude of two quantities usually expressed as a quotient.
Thus, a ratio can be expressed as a word description between two quantities, for example:
four to five.
It can be represented with a colon. i.e 4:5
Or as a fraction i.e. [tex]\dfrac{4}{5}[/tex]
Pizza time: A local pizza parlor is offering a half-price deal on any pizza with one topping. There are nine toppings from which to choose. In addition, there are three different choices for the size of the pizza, and two choices for the type of crust. In how many ways can a pizza be ordered?
Answer:
You can order pizza in 56 ways.
Step-by-step explanation:
A pizza can be ordered in 56 ways
Step-by-step explanation:
From the information that the problem gives to us, we have that:
For each topping, there are four different choices for the size of the pizza.
For each size of pizza, there are two possible choices of crust.
There are seven toppings for us to choose.
So
4*2*7 = 56
A pizza can be ordered in 56 ways
Prove that 11n-4n is divisible by
7 for all positive integers.
Hurry Please!!!
True or False
The graph of y=2x is similar but also different from the graph
of y=2x−7.
True
False
Explain the reasoning of your answer above.
Answer:
True
Step-by-step explanation:
The lines has the same slope but y=2x-7 is lower than y=2x
Find the slopes of the liner functions
Y= -2x +7
The slope of line given by the linear equation?
The slope of the line shown ?
Answer:
The slope of the line given by the linear equation is -2
The slope of the line shown in the graph is -1
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points lie on the lineLet us use these rules to answer the question
∵ The linear equation is y = -2x + 7
→ By comparing it with the form of the linear equation above
∴ m = -2
∵ m is the slope of the line represented by the given equation
∴ The slope of the line given by the linear equation is -2
From the given figure
∵ The line passes through points (6, 0) and (0, 6)
∴ x1 = 6 and y1 = 0
∴ x2 = 0 and y2 = 6
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{6-0}{0-6}=\frac{6}{-6}[/tex]
∴ m = -1
∵ m is the slope of the line shown in the graph
∴ The slope of the line shown in the graph is -1
Sample Work Suppose you are constructing a LEGO Technic Land Rover Defender with a total of 2573 pieces. You have already put together 253 pieces. Every minute you add 5 more pieces. Part A Is the relationship linear? How do you know?
Answer:
The relationship is linear.
Step-by-step explanation:
A linear relationship is a trend in the data that can be modeled using a straight line, such that a relationship between two variables x and y is linear if the rate of change is constant. That is, whenever x increases by 1, and it always increases by the same constant.
The constant by which y increases as x increases by 1 is called the slope and is denoted by the letter m. Being b the y-intercept, the linear relationship is modeled by the expression:
y=m*x + b
In this case x represents the minutes and y is the total number of pieces put together, so that each time x (minutes) increases by 1, "y" increases by 5 pieces. So knowing that you have already collected 253 pieces, the expression of the linear relationship is:
y=5*x + 253
The relationship is linear.
Write an equation in standard form.
Answer:
[1,2]; m = 7
Step-by-step explanation:
1,682inches rounded to the nearest hundredth is 1,68?
,
Answer:
correct its 1.68
Step-by-step explanation:
The first time the us enacted a temporary income tax was
Answer:
the revenue act of 1862
Step-by-step explanation:
President Abraham Lincoln signed it
6.4 meters + 14.7 - 23.2 = ?
Answer:
-2.1
Step-by-step explanation:
Answer:
-2.1
Step-by-step explanation:
Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas costs $3.5/gallon.
a. Write the function that finds the cost per mile at speed v
b. What speed results in the most inexpensive driving speed?
Answer:
(17.5 / 120 - 2v) + (15 / v)
Step-by-step explanation:
Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,
chauffeur is paid $15/hour
gas cost = $3.5/gallon.
Gasoline cost per mile :
Cost per gallon = $3.5
Cost per gallon * 1/(m(v))
$3.5 * 1 / (120 - 2v) / 5
$3.5 * 5 / 120 - 2 v
= 17.5 / 120 - 2v
Time = distance / speed
Chauffeur cost = 15 per hour / v
Hence ;
Total cost :
Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
Answer would be - (17.5 / 120 - 2v) + (15 / v)
First Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v , The chauffeur is paid $15/hour. Then gas cost = $3.5/gallon. Gasoline cost per mile : Cost per gallon = $3.5 Cost per gallon * 1/(m(v)) When, $3.5 * 1 / (120 - 2v) / 5 $3.5 * 5 / 120 - 2 vThen result will be = 17.5 / 120 - 2v
Time = distance / speed Chauffeur cost = 15 per hour / v
Hence ;
The total cost will be : Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
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Mrs. Robert’s vegetable garden is 6 feet wide and 8 feet long. A drawing of the garden has a scale of 1 inch 2 feet. What is the area of the garden on the scale drawing? a. 192 in b. 12 in c. 7 in d. 28 in
Answer:
Step-by-step explanation:
It’s 24
Answer:
b.12 inch squared
Step-by-step explanation:
6 feet become 3 inches and 8 feet becomes 4 inches 3×4 = 12
1. Simplify the expression.
9m - 5n + m - 2n
2.Simplify the expression.
3 - 1 v + 7v - 1
Answer:
1. 10m - 7n
2. 6v - 1
Step-by-step explanation:
9m - 5n + m - 2n
10m - 7n ( combine like terms).
2. - 1 v + 7v - 1
6v - 1 (combine like terms)
Answer:
1. 9m-7m
2. 6v+2
Step-by-step
Im pretty sure that the answer
R
B
R
P-
a
0
Wb
Z
Z
4. a) In the adjoining figure, show that a = 90° -
2
AAX
YAB
A
Step-by-step explanation:
qbbab w qnajkwkqqnnqnwn
Help help help help help
Answer:
Option 2: [tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex] is the correct answer.
Step-by-step explanation:
Given function is:
[tex]f(x) = -\frac{3}{4x}[/tex]
There are few steps to find inverse of a function. We will apply them one by one onto the function
Step 1: Replacing f(x) with y
[tex]y = -\frac{3}{4x}[/tex]
Step 2: Replacing y with x and x with y
[tex]x = -\frac{3}{4y}[/tex]
Step 3: Solving the equation in step 2 for y
[tex]x = -\frac{3}{4y}\\y = -\frac{3}{4x}[/tex]
Step 4: Replacing y with inverse of f
[tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex]
Hence,
Option 2: [tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex] is the correct answer.
What is the area, in square feet, of the shaded part of the rectangle below?
5ft
17 ft
11 ft
Determine which statement uses a valid argument.
A.
If it is hot outside, then Matt will not wear a jacket. Matt is not wearing a jacket. Therefore, it is hot outside.
B.
If it is Tuesday, then the library is open. The library is open. Therefore, it is Tuesday.
C.
If it is summertime, the museum closes at 6 p.m. It is 7 p.m. in the summertime. Therefore, the museum is closed.
D.
All practicing lawyers must pass the bar exam. Chris did not pass the bar exam. Therefore, Chris is a practicing lawyer.
Answer:
The answer is C.
Step-by-step explanation:
- If it is summertime, the museum closes at 6 p.m. It is 7 p.m. in the summertime. Therefore, the museum is closed.
8. John is looking for a job after graduation. The salary which he is satisfied with must be
$3000 with a tolerance of $500. Choose the salary John would accept.
A $3.478
B. $3.792
C. $2,489
D. $2,256
Answer:
A
Step-by-step explanation:
Becuase he wanted more then 3000
Find the mean of the list of data.
49, 65, 41, 38, 87, 55, 95, 106
I can’t find the answer
Answer:
67.
Step-by-step explanation:
First we find the mean:
Mean is add up everything and divide by how much numbers there are.
The numbers are:
[tex]49, 65, 41, 38, 87, 55, 95, 106[/tex].
So we add them up which is 536.
Then we divide by how much numbers there are.
There are 8 numbers so 536/8 which is 67.
Hope this helps :D